A generalization of Taub-NUT deformations
Kota Hattori
TL;DR
This paper generalizes Taub-NUT deformations to a broad class of hyper-Kaehler quotients, including toric hyper-Kaehler manifolds and quiver varieties, and explores their application to Hilbert schemes of points on C^2.
Contribution
It introduces a new generalized framework for Taub-NUT deformations applicable to various hyper-Kaehler quotients and demonstrates their use in Hilbert schemes.
Findings
Generalized Taub-NUT deformations for hyper-Kaehler quotients
Application to Hilbert schemes of points on C^2
Extension to toric hyper-Kaehler manifolds and quiver varieties
Abstract
We introduce a generalization of Taub-NUT deformations for large families of hyper-Kaehler quotients including toric hyper-Kaehler manifolds and quiver varieties, and apply them to the case of the Hilbert schemes of k points on C^2.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry